The probable case was found among 10 people who tested positive for the virus on Saturday, the health agency said in a tweet on Sunday.
Another seven cases have since been reported, it added, taking the total number of cases among passengers and crew of Norwegian Breakaway, a cruise ship owned by Norwegian Cruise Line Holdings Ltd , to 17.
"At this time, there have been no changes to scheduled future sailings on Norwegian Breakaway," a spokesperson for Norwegian Cruise Line said in a statement to Reuters.
The cruise ship departed New Orleans on a week-long cruise on Nov. 28 and had stops in Belize, Honduras and Mexico, the health agency said.
"NCL has been adhering to appropriate quarantine and isolation protocols," the department said in an earlier tweet.